Solve the equation 2y+6=y-7. What is the value of y?

Question

asked Apr 14, 2024 178k views

1 Answer

Zebs · Answer 1 · 2024-04-20T20:29:39+0000

Answer:

The value of y is -13.

Step-by-step Step-by-step explanation:

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.
Step 2 :- then we Simplify the equation in LHS and RHS.
Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.
Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
Step 5 :- Then the result will be the solution for the given linear equation.

$\begin{gathered} \end{gathered}$

$\longrightarrow\sf{2y + 6 = y - 7}$

$\longrightarrow\sf{2y - y = - 7 - 6}$

$\longrightarrow\sf{\underline{\underline{y = - 13}}}$

Hence, the value of y is -13.

$\begin{gathered} \end{gathered}$

$\longrightarrow\sf{2y + 6 = y - 7}$

Substituting the value of y.

$\longrightarrow\sf{2 * - 13 + 6 = - 13 - 7}$

$\longrightarrow\sf{ - 26+ 6 = - 20}$

$\longrightarrow\sf{ - 20 = - 20}$

$\longrightarrow\sf{\underline{\underline{LHS = RHS}}}$

Hence, verified!